Abstract
This work is an analysis of the flow model often occurs in crude oil extraction, blood flow in the arteries, filtration of underground different fluids flowing together. In this analysis, a model of three-layered porous horizontal channel is considered. This problem is significant because of the different permeability functions used for each porous layer of the channel and flow of different Newtonian fluids takes place in these porous regions. The problem is solved for the general case which can be reduced into several particular cases. The flows inside the channel and in every porous layer is governed by the Brinkman's momentum equation for the porous medium. The momentum equations in each region of the present model are the Airy's inhomogeneous differential equations respectively. An analytical closed form solution of the flow in each region have been obtained. Authors have discussed various results of velocity profile, flow rate and wall shear stresses graphically. Our results agree with the previous published results.
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